Geodesic
Bounded geometry of quadrilaterals and variation of multipliers for rational maps
Kevin M. Pilgrim1
1 Department of Mathematics Indiana University Bloomington, IN 47401, U.S.A.
Fundamenta Mathematicae, Tome 182 (2004) no. 2, pp. 137-150.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $Q$ be the unit square in the plane and $h: Q \to h(Q)$ a quasiconformal map. When $h$ is conformal off a certain self-similar set, the modulus of $h(Q)$ is bounded independent of $h$. We apply this observation to give explicit estimates for the variation of multipliers of repelling fixed points under a “spinning” quasiconformal deformation of a particular cubic polynomial.
DOI : 10.4064/fm182-2-4
Keywords: unit square plane quasiconformal map conformal off certain self similar set modulus bounded independent apply observation explicit estimates variation multipliers repelling fixed points under spinning quasiconformal deformation particular cubic polynomial

Kevin M. Pilgrim 1

1 Department of Mathematics Indiana University Bloomington, IN 47401, U.S.A. 
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Kevin M. Pilgrim. Bounded geometry of quadrilaterals
 and variation of multipliers for rational maps. Fundamenta Mathematicae, Tome 182 (2004) no. 2, pp. 137-150. doi : 10.4064/fm182-2-4. http://geodesic.mathdoc.fr/articles/10.4064/fm182-2-4/

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